Two modifications of the Leggett-Williams fixed point theorem and their applications.
Two positive solutions for second-order functional and ordinary boundary-value problems.
Existence of positive solutions for a class of arbitrary order boundary value problems involving nonlinear functionals
We give conditions which guarantee the existence of positive solutions for a variety of arbitrary order boundary value problems for which all boundary conditions involve functionals, using the well-known Krasnosel'skiĭ fixed point theorem. The conditions presented here deal with a variety of problems, which correspond to various functionals, in a uniform way. The applicability of the results obtained is demonstrated by a numerical application.
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